The radius of a wheel rolling on the ground is 81 centimeters. If the wheel rotates through an angle of 60°, how many centimeters does it move? Express your answer in terms of pi and then round to two decimal places​

Answer:

The p-value of the test is 0.0869.

Step-by-step explanation:

In the 1990s, it was generally believed that genetic abnormalities affected about 5% of a large nation's children.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.05[/tex]

Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities.

This means that the alternate hypothesis is:

[tex]H_{a}: p > 0.05[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

5% tested at the null hypothesis:

This means that:

[tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]

A recent study examined 384 randomly selected children and found that 25 of them showed signs of a genetic abnormality.

This means that [tex]n = 384, X = \frac{25}{384} = 0.0651[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.0651 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{384}}}[/tex]

[tex]z = 1.36[/tex]

p-value:

Testing if the mean is bigger than a value, so the pvalue is the probability of finding a value in the z table higher than 1.36, which is 1 subtracted by the pvalue of z = 1.36.

z = 1.36 has a pvalue of 0.9131

1 - 0.9131 = 0.0869

The p-value of the test is 0.0869.

Answer:

radius = 3 feet

Step-by-step explanation:

V = 1/3πr²h

15π = 1/3πr²·5

you can divide each side by 5π to get:

3 = r²/3

r² = 9

r = [tex]\sqrt{9}[/tex] which is 3

Answer:

3

Step-by-step explanation:

((r^2)h[tex]\pi[/tex] )/3=volume of a cone

[tex]15\pi =((r^2)h\pi )/3[/tex]

they say that the height is 5 so insert 5 for h

[tex]15\pi =\frac{r^2(5)\pi } {3}[/tex]

solve for r

multiply both sides by 3

[tex]45\pi =r^25\pi[/tex]

divide both sides by 5

[tex]9\pi =r^2\pi[/tex]

[tex]r=3[/tex]

Hope that helps :)

Answer:

343

Step-by-step explanation:

Big brain calculator work

28 + 35 + 42 + 49 + 56 + 63 + 70 = 343

Answer:

343

Step-by-step explanation:

28+35+42+49+56+63+70          We are asked to find the sum, so we add all the numbers in the series.

28+35+42+49+56+63+70 = 343

Step-by-step explanation:

Angles:

1. <SLT and <AKM

2.<KMA and <LST

3.<MAK and <STL

Sides:

1. SL and KM

2.ST and AM

3.TL and AK

Answer:

3

Step-by-step explanation:

hgffggffggfrrtggfrrg

Step-by-step explanation:

f=1/g

4=1/-6

=-24

find f

f=1/-6

Answer:

[tex] 1,824 \: {in}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 48 in and 32 in + Area of triangle with base 48 in and height 12 in.

[tex] = 48 \times 32 + \frac{1}{2} \times 48 \times 12 \\ \\ = 1,536 + 24 \times 12 \\ \\ = 1,536 + 288 \\ \\ = 1,824 \: {in}^{2} [/tex]

Answer:

(-2,0)

Step-by-step explanation:

Answer:

it’s D

Step-by-step explanation:

Answer:

£10.91

Step-by-step explanation:

72p is 1kg of potatoes

1kg of carrots is 62p

10kg of potatoes is £7.20 add 3 extra kg's

which is £2.16

add £2.16 with £7.20 = £9.36

2kg of carrots is £1.24 add an extra half of kg an you get £1.55

Answer:

12.8

Step-by-step explanation:

imagine a right triangle in the middle,

base: 16 ÷ 2 = 8 cm, height: 10 cm, side: s

10² + 8² = s²

=> s = √(10² + 8²)

=> s = √(100 + 64)

=> s = √164

=> s ≈ 12.8

Answer:

Answer and steps are in picture.

Answer:

thrid one looks right

Step-by-step explanation:

Answer:

The 4th cone

Step-by-step explanation:

Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward.  If you are familiar with plane symmetry, this question is fairly simple.  Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.  

Hope this helps.

Just in case my explanation was too confusing, I'll attach the image of the answer here.  

Feel free to give me brainliest.

Answer:

561 patients

Step-by-step explanation:

45 percent of 1020= 459

1020-459=561

Answer:

D

Step-by-step explanation:

The correct answer to this open question is the following.

Unfortunately, you forgot to attach the scores shown in the back-to-back stem-and-leaf display. So we do not know what the numbers are and we do not have any reference at all

What we can do to help you is to comment on the following general terms.

There have been previous and similar experiments or projects like this in other schools in America. These results suggest that the new activities are better because extra or special reading comprehension programs better prepare students to understand what they are reading and comprehend more than basic ideas of the text.

Students that participate in these programs develop a better sense to understand and like what they are reading, considerably increasing their focus and attention.

These programs have resulted positively when trying to improve the marks of the students, compared to other traditional approaches.

Answer:

Part A: 4x = -5(x-18)

Part B: A and B both = 40 degrees

Step-by-step explanation:

Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.

So A = B

4x = -5(x -18)

4x = -5x + 90

9x = 90

x = 10

Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:

Angle B = -5(x - 18) = -50 + 90 = 40

Answer:

B.) The true proportion of high school students who play a musical instrument is p.

Step-by-step explanation:

edge 2021

Answer:

Step-by-step explanation:

Problem One

The scoop is a semisphere I would assume.

The volume of a semisphere = 2/3 * pi * r^2

r = d/2

r = 2/2 = 1

Volume = 2/3 * 3.14 * 1^3

Volume = 2.093

Volume of cone

V = 1/3 * pi * r^2 * h

r = 1

h = 6

V = 1/3 * 3.14 * 1^2 * 6

V = 6.28

Total volume = 8.373

Note: this could be incorrect. It's not clear whether the 2 is a diameter or a radius.

Problem 2

Use the Circumference to find R

C = 2*pi*r

C = 150

r = ?

150 = 2 * 3.14 * r

r = 23.89

Find the area

Area = pi r^2

r = 23.89

Area = 3.14 * 23.89^2

Area = 1791.4 square feet.

Problem 3

The center is 5,-6

The formula is

(x - 5)^2 + (y+6) = 12^2

Answer:

D and B would be your answer

Answer:

x = 18.8

Step-by-step explanation:

(6x + 19) is in linear pair vertically so,

it's value will be 180 - 6x + 19. ......( angles in linear pair are supplementary)

now, 180 - 6x + 19 is corresponding with (4x + 11)

therefore, 4x + 11 = 180 - 6x + 19

4x + 6x = 180 + 19 - 11

10 x. = 180 + 8

10 x. = 188

x = 188/10

x. = 18.8

Cross - check:-

4x + 11 = 180 - 6x + 19

4 * 18.8 + 11 = 180 - ( 6 * 18.8 +19)

86.2. = 86.2

therefore, x = 18.8 is the correct answer

Answer:

90 inches tall

Step-by-step explanation:

Answer: 90 inches tall

Step-by-step explanation:

7 x 12 = 84

84 + 6 = 90

Answer:

this is the ans

Step-by-step explanation:

hope it helps!!!

Answer:

A=18b

Step-by-step explanation:

A = kb

6 = k(⅓)

k = 6×3

k = 18

Answer:

a=18b

Step-by-step explanation:

use the equation of a=kb

so find k first 6=k1/3

k=18 then substitute it in the eqn

Answer:

i have no answer

Step-by-step explanation:

Answer:

You're a really fungi

Step-by-step explanation:

Answer:

The answer is "64".

Step-by-step explanation:

Let A= look at the number of a card on it {3,5,7,9}

[tex]\to 4 \times 4 = 16 \ odd \ numbers[/tex]

Let B= look at the king of the card = [tex]4 \ Cards[/tex] 

Choose one card A = 16 ways

Choose one card B= 4 ways

selecting one card, either A and B:

[tex]=A \times B \\\\= 16 \times 4 \\\\= 64[/tex]

Answer:

C

Step-by-step explanation:

Subtract like-terms. -2y is the only variable that has a y and is therefore unaffected. 8x - x - x = 6x.

--- > 6x - 2y

Answer:

1/3

Step-by-step explanation:

5 out of 15 men watch comedy

so it would be 5/15 and would reduce to 1/3

Answer: See below

Step-by-step explanation:

14) 26/52 of the cards are red, 1/2

15) All of the cards are red or black, 1/1

16) 4/52 of the cards are aces, 1/13

17) 12/52 of the cards are J/Q/K, 3/13

Convert the fractions to whatever unit is needed.

Answer:

14) 26/52

15) 52/52

16) 4/52

17) 24/52

Step-by-step explanation:

Answer:

9 dimes and 6 nickles

Step-by-step explanation: